Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂xC₁₂

Direct product G=NxQ with N=Q₈ and Q=C₂xC₁₂

		d	ρ	Label	ID
Q₈xC₂xC₁₂		192		Q8xC2xC12	192,1405

Semidirect products G=N:Q with N=Q₈ and Q=C₂xC₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:(C₂xC₁₂) = C₂xC₄xSL₂(F₃)	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Out Q₈	64		Q8:(C2xC12)	192,996
Q₈:₂(C₂xC₁₂) = C₁₂xSD₁₆	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out Q₈	96		Q8:2(C2xC12)	192,871
Q₈:₃(C₂xC₁₂) = C₃xSD₁₆:C₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out Q₈	96		Q8:3(C2xC12)	192,873
Q₈:₄(C₂xC₁₂) = C₆xQ₈:C₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out Q₈	192		Q8:4(C2xC12)	192,848
Q₈:₅(C₂xC₁₂) = C₃xC₂³.₃₆D₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out Q₈	96		Q8:5(C2xC12)	192,850
Q₈:₆(C₂xC₁₂) = C₆xC₄wrC₂	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out Q₈	48		Q8:6(C2xC12)	192,853
Q₈:₇(C₂xC₁₂) = C₁₂xC₄oD₄	φ: trivial image	96		Q8:7(C2xC12)	192,1406
Q₈:₈(C₂xC₁₂) = C₃xC₂³.₃₃C₂³	φ: trivial image	96		Q8:8(C2xC12)	192,1409

Non-split extensions G=N.Q with N=Q₈ and Q=C₂xC₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂xC₁₂) = C₄xC₄.A₄	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Out Q₈	64		Q8.1(C2xC12)	192,997
Q₈.₂(C₂xC₁₂) = (C₂xQ₈):C₁₂	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Out Q₈	32		Q8.2(C2xC12)	192,998
Q₈.₃(C₂xC₁₂) = C₄oD₄:C₁₂	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Out Q₈	64		Q8.3(C2xC12)	192,999
Q₈.₄(C₂xC₁₂) = C₂xC₈.A₄	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Out Q₈	64		Q8.4(C2xC12)	192,1012
Q₈.₅(C₂xC₁₂) = M₄(2).A₄	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Out Q₈	32	4	Q8.5(C2xC12)	192,1013
Q₈.₆(C₂xC₁₂) = C₁₂xQ₁₆	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out Q₈	192		Q8.6(C2xC12)	192,872
Q₈.₇(C₂xC₁₂) = C₃xQ₁₆:C₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out Q₈	192		Q8.7(C2xC12)	192,874
Q₈.₈(C₂xC₁₂) = C₃xC₈oD₈	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out Q₈	48	2	Q8.8(C2xC12)	192,876
Q₈.₉(C₂xC₁₂) = C₃xC₈.₂₆D₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out Q₈	48	4	Q8.9(C2xC12)	192,877
Q₈.₁₀(C₂xC₁₂) = C₃xC₂³.₂₄D₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out Q₈	96		Q8.10(C2xC12)	192,849
Q₈.₁₁(C₂xC₁₂) = C₃xC₂³.₃₈D₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out Q₈	96		Q8.11(C2xC12)	192,852
Q₈.₁₂(C₂xC₁₂) = C₃xC₄²:C₂²	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out Q₈	48	4	Q8.12(C2xC12)	192,854
Q₈.₁₃(C₂xC₁₂) = C₃xC₂³.₃₂C₂³	φ: trivial image	96		Q8.13(C2xC12)	192,1408
Q₈.₁₄(C₂xC₁₂) = C₆xC₈oD₄	φ: trivial image	96		Q8.14(C2xC12)	192,1456
Q₈.₁₅(C₂xC₁₂) = C₃xQ₈oM₄(2)	φ: trivial image	48	4	Q8.15(C2xC12)	192,1457

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